G. Röhrle

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20242026

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math.GR2026

On Normalizers of Parabolic Subgroups of Quaternionic Reflection Groups

Gerhard Roehrle, Johannes Schmitt

By work of Howlett and Muraleedaran--Taylor, a parabolic subgroup of a real or complex reflection group always admits a complement in its normalizer. In this note, we investigate t…

math.GR2025

Parabolic Normalizers in Finite Coxeter Groups as Subdirect Products

J. Matthew Douglass, Götz Pfeiffer, Gerhard Roehrle

We revisit the structure of the normalizer $N_{W} (P)$ of a parabolic subgroup $P$ in a finite Coxeter group $W$ , originally described by Howlett. Building on Howlett's Lemma, which p…

math.GR2024

On good $A_{1}$ subgroups, Springer maps, and overgroups of distinguished unipotent elements in reductive groups

Michael Bate, Sören Böhm, Benjamin Martin +1

Suppose $G$ is a simple algebraic group defined over an algebraically closed field of good characteristic $p$ . In 2018 Korhonen showed that if $H$ is a connected reductive subgroup…

On Normalizers of Parabolic Subgroups of Quaternionic Reflection Groups

Parabolic Normalizers in Finite Coxeter Groups as Subdirect Products

On good A1​ subgroups, Springer maps, and overgroups of distinguished unipotent elements in reductive groups

On good $A_{1}$ subgroups, Springer maps, and overgroups of distinguished unipotent elements in reductive groups